Question was : (pi/2,1) lies on y=sinx. Where is that coordinate in the equation (1) ?
What is the vertical shift?
What is the horizontal shift?
What is the amplitude?
Translations of Sine and Cosine Functions
Function : is a relationship between two variables in which one variable is matched uniquely to the other.
Use the VERTICAL LINE TEST to see if they only intersect at ONLY ONE point. Observe that in those trig functions that have asymptotes. the asymptotes are
excluded from the domains.
Thin line y=sinx; Thick line y= sin(1.5x) or sin (3/2*x). See the behavior of the two graphs? What is your observation?
y= -5 + 2sin(1.5x+pi) ------------------------- (1)
Question was : (pi/2,1) lies on y=sinx. Where is that coordinate in the equation (1) ?
What is the vertical shift?
What is the horizontal shift?
What is the amplitude?
Translations of Sine and Cosine Functions
Function : is a relationship between two variables in which one variable is matched uniquely to the other.
Use the VERTICAL LINE TEST to see if they only intersect at ONLY ONE point. Observe that in those trig functions that have asymptotes. the asymptotes are
excluded from the domains.
Homework : Page 487 :
#59 & 60
#65 & 66